Pith Number

pith:224KKNHA

pith:2009:224KKNHAIC5TNICPTEG7GYBWNI

not attested not anchored not stored refs pending

BPS Wall Crossing and Topological Strings

Cumrun Vafa, Sergio Cecotti

arxiv:0910.2615 v2 · 2009-10-14 · hep-th · math.AG

Open paper page JSON Open Graph Bundle Merged state Verified badge What is a Pith Number?

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{224KKNHAIC5TNICPTEG7GYBWNI}

Prints a linked badge after your title and injects PDF metadata. Compiles on arXiv. Learn more · Embed verified badge

Record completeness

1 Bitcoin timestamp

2 Internet Archive

3 Author claim open · sign in to claim

4 Citations open

5 Replications open

✓ Portable graph bundle live · download bundle · merged state

The bundle contains the canonical record plus signed events. A mirror can host it anywhere and recompute the same current state with the deterministic merge algorithm.

Cited by

1 paper in Pith

Wild wall-crossing and symmetric quivers in 4d and 3d $\mathcal{N}=2$ field theories

Receipt and verification

First computed	2026-07-04T16:21:37.533429Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

d6b8a534e040bb36a04f990df360366a30066d093c06bf747e94c8fccef8f75d

Aliases

arxiv: 0910.2615 · arxiv_version: 0910.2615v2 · doi: 10.48550/arxiv.0910.2615 · pith_short_12: 224KKNHAIC5T · pith_short_16: 224KKNHAIC5TNICP · pith_short_8: 224KKNHA

Agent API

Resolver JSON Graph JSON Events JSON Schema Signing key

Verify this Pith Number yourself

curl -sH 'Accept: application/ld+json' https://pith.science/pith/224KKNHAIC5TNICPTEG7GYBWNI \
  | jq -c '.canonical_record' \
  | python3 -c "import sys,json,hashlib; b=json.dumps(json.loads(sys.stdin.read()), sort_keys=True, separators=(',',':'), ensure_ascii=False).encode(); print(hashlib.sha256(b).hexdigest())"
# expect: d6b8a534e040bb36a04f990df360366a30066d093c06bf747e94c8fccef8f75d

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "bedd2c4cb7a8775d51eb2ae9f9bf6a8c64d18162fb65c743611ab27894ef63ba",
    "cross_cats_sorted": [
      "math.AG"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "hep-th",
    "submitted_at": "2009-10-14T13:29:05Z",
    "title_canon_sha256": "2361ac3e158a21bb823a66b67bbd06e8fcfd3b0a93206ef031cfff286658eb40"
  },
  "schema_version": "1.0",
  "source": {
    "id": "0910.2615",
    "kind": "arxiv",
    "version": 2
  }
}